Question 448080: Hi Below are the home states of 21 college professors.
New Jersey Ohio Michigan South Carolina Nebraska
South Carolina Ohio South Carolina Pennsylvania Michigan
Georgia New Jersey Wisconsin Georgia Ohio
Florida Georgia New Jersey South Carolina Wisconsin
Pennsylvania
i. Make a frequency table using these 9 states:
Florida
Georgia
Michigan
Nebraska
New Jersey
Ohio
Pennsylvania
South Carolina
Wisconsin
ii. What is (are) the mode(s)?
iii. Does it make sense to talk about the average for this data? Why or why not?
iv. Using your frequency table draw a pie chart to display the distribution of home states by filling in the following table:
Home State Frequency Percentage of Measure of Central
total Angle (in degrees)
Florida
Georgia
Michigan
Nebraska
New Jersey
Ohio
Pennsylvania
South Carolina
Wisconsin
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! i. Make a frequency table using these 9 states:
State | Frequency
-------------------------------------------------------
Florida | 1
Georgia | 3
Michigan | 2
Nebraska | 1
New Jersey | 3
Ohio | 3
Pennsylvania | 2
South Carolina | 4
Wisconsin | 2
All you do here is write the name of the state in the left column and count how many times you see it and write that count in the right column.
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ii. What is (are) the mode(s)?
The mode is the data element that repeats/occurs the most. So the mode is South Carolina since it occurs the most at 4.
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iii. Does it make sense to talk about the average for this data? Why or why not?
Since the data is NOT quantitative (it's qualitative), you cannot average the data because it doesn't make sense to average names of states. If it were possible, then what is the average of Georgia and Pennsylvania? Is it a state? If so, then is it some state between the two states? If that's the case, then what's the average of Georgia and Florida? So we can see this hypothetical "average" breaking down quickly. So it does NOT make sense to talk about the average for this data.
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iv. Using your frequency table draw a pie chart to display the distribution of home states by filling in the following table:
I'll let you take this one. All you need to do is enter the data into some spreadsheet program (like excel) and it will create the chart for you.
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